title: Resolving spatial modes of lasers via matrix completion.
abstract: We explain a technique that recovers the structure and the modal weights of spatial modes of lasers from a limited number of spatial coherence measurements. Our approach interpolates the unobserved spatial coherence measurements via the low-rank matrix completion algorithm based on nuclear norm minimization and then extracts the set of modes via singular value decomposition. Numerical examples are provided on a variety of lasers to demonstrate the effectiveness of the method, and it is shown that the proposed method can further reduce the number of measurements by a factor of 2 for a moderate data size.
authors.forename: Yuejie
authors.initials: Y
authors.lastname: Chi
authors.forename: Betty Lise
authors.initials: BL
authors.lastname: Anderson